About our software ...
LSQRANK (TM) is a numerical ranking software system that performs a least squares best fit of IN-SEASON data of performance based measurable attributes between sports teams. This program adapts adjustment computation methods developed for spatial data analysis to the science of sports performance ranking. Rigorous algorithms are employed to compute composite margin of victory scores (MOV) and observation weights which are employed to build the reduced normal equation matrices. The solution of the system of equations is iterative using the Cholesky algorithm. The solution of observation equations produces:
(1) LSQRANK, a relative ranking order of the given teams in the league or interconnecting network;
(2) GD, a modeled goal differential based on rank & score;
(3) avgSS, an average strength of schedule of each team;
(4) Wi, a report of the standardized residuals of the adjusted observations.
(1) LSQRANK, a relative ranking order of the given teams in the league or interconnecting network;
(2) GD, a modeled goal differential based on rank & score;
(3) avgSS, an average strength of schedule of each team;
(4) Wi, a report of the standardized residuals of the adjusted observations.